Find the incorrect term in the following number series. Series: 5, 10, 40, 80, 320, 550, 2560
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A80
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B320
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C550
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D2560
Answer
Correct Answer: 550
Explanation
Introduction / Context: This problem checks recognition of an alternating multiplication pattern. Detecting a simple repeat like ×2, ×4, ×2, ×4 … allows you to identify the misfit quickly.
Given Data / Assumptions:
- Series: 5, 10, 40, 80, 320, 550, 2560
- We suspect alternating multipliers.
- Exactly one term is wrong (the “odd one out”).
Concept / Approach: Test an alternating scheme: multiply by 2, then by 4, repeating. If one term fails this scheme, it is the incorrect entry.
Step-by-Step Solution: 5 × 2 = 10 ✓ 10 × 4 = 40 ✓ 40 × 2 = 80 ✓ 80 × 4 = 320 ✓ 320 × 2 = 640 (but the series shows 550 ✗) Continuing the rule would give 640 × 4 = 2560 (which matches the last term).
Verification / Alternative check: Replacing 550 by 640 makes the entire sequence consistent with ×2, ×4 repetition.
Why Other Options Are Wrong: 80, 320, 2560 all satisfy the alternating multiplication rule with their neighbors.
Common Pitfalls: Overlooking the alternating nature and searching for a single fixed multiplier.
Final Answer: 550